An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $14 m$ $14 m$ . If the wheel attached to the axle has a radius of $3 m$ $3 m$ , how much force must be applied to the wheel to keep the object from falling?

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Answer 1 · 2017-10-25T07:21:48

The force is $= 228.7 N$ $=228.7N$

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The load is $L = 5 g N$ $L=5gN$

The radius of the axle is $r = 14 m$ $r=14m$

The radius of the wheel is $R = 3 m$ $R=3m$

The effort is $= F N$ $=FN$

The acceleration due to gravity is $g = 9.8 m s^{- 2}$ $g=9.8ms^-2$

Taking moments about the center of the axle

$F \cdot 3 = 5 g \cdot 14$ $F*3=5g*14$

$F = 5 g \cdot \frac{14}{3} = 228.7 N$ $F=5g*14/3=228.7N$

The force is $F = 228.7 N$ $F=228.7N$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 14m14 m. If the wheel attached to the axle has a radius of 3m3 m, how much force must be applied to the wheel to keep the object from falling?